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Finding the Third Proportional to 2,619,432.75 and 5,725,827

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Solution

The third proportional to 2,619,432.75 and 5,725,827 is: 12,516,104.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619,432.75 : 5,725,827 = 5,725,827 : x
  2. Step 2: Convert to fraction form
    2,619,432.75/5,725,827 = 5,725,827/x
  3. Step 3: Cross multiply
    2,619,432.75x = 5,725,827 × 5,725,827
  4. Step 4: Simplify right side
    2,619,432.75x = 32,785,094,833,929
  5. Step 5: Solve for x
    x = 32,785,094,833,929/2,619,432.75
  6. Step 6: Final answer
    x = 12,516,104.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.